Hypothesis Testing, 95% Confidence, Point Estimate

1. Consider the following hypothesis test:

Ho:u1-u2 = 0
Ha:u1-u2 does not equal 0

The following results are for two independent samples taken from the two populations.

Sample 1

N1 = 80
x1 = 104
o1 = 8.4

Sample 2

N2 = 70
x2 = 106
o2 = 7.6

1. What is the value of the test statistic?
2. What is the p-value?
3. With a=.05, what is your conclusion, reject or accept?

2. A study of wage differentials between men and women shows that one of the reasons wages for men are higher than wages for women is that men tend to have more years of work experience than women. Assume the following results.

Men
n1=100
x1=14.9 years
o1=5.2 years

Women
n2=85
x2=10.3 years
o2=3.8 years

1. What is the point estimate of the difference between the two population means?
2. At 95% confidence, what is the margin of error?
3. What is the 95% confidence interval estimate of the difference between the two population means?

3. Consider the following data for 2 independent random samples taken from two normal populations.

1. Compute the 2 sample standard deviations.
2. What is the point estimate of the difference between the two population means?
3. What is the 90% confidence interval estimate of the difference between the two population means?

Solution Summary

This solution calculates p-values, the value of test statistics, the point estimates, the margin of error, and standard deviations.

... Define the population c. State the hypotheses for the ... b. What distribution does the test statistic have ... List the steps involved in hypothesis testing using: a ...

... for sample size determination, hypothesis testing and confidence... Null hypothesis, alternative hypothesis, significance level ... p value and test statistic are ...

... c. State the hypotheses for the study H0: The ... f. List the steps involved in hypothesis testing using: a ... Data Null Hypothesis µ= 200 Level of Significance 0.05 ...

... and if the p value is greater than the significance level, we fails to reject the null hypothesis. ... The σ (µ1-µ2) for the writing test is 2.15 points. ...

... So test statistic=(0.52-0.44)/0.032=2.53 ... a set of questions including performing hypothesis testing and constructing ... this proportion with 95% confidence with a ...

... b. Compute the value of the test statistic ... The solution examines hypothesis tests and confidence intervals for normal ... b. Using the 95 percent level of confidence...

... Also, for every hypothesis test that you perform, clearly state the null and alternative hypotheses, and interpret ... With 95% confidence we can claim that the ...

... b. What are the hypotheses for this test...test statistic and the p-value for this test. ... of 4 questions on performing hypothesis testing, constructing confidence...